A carrier wave is modulated by a number of sine waves with modulation indices m1, m2, m3, ldots, . The total modulation index (m) of the wave is

Question

A carrier wave is modulated by a number of sine waves with modulation indices m1, m2, m3, ldots, . The total modulation index (m) of the wave is (A) m1+m2+m3+ ldots (B) m1-m2+m3+ ldots (C) √m12+m22+m32+ ldots (D) √(m12+m22+m32+ ldots/n)

Tardigrade Admin · Accepted Answer

Total modulation index of the wave m=√m12+m22+m32+ ldots

Q. A carrier wave is modulated by a number of sine waves with modulation indices $m_{1}, m_{2}, m_{3}, \dots, .$ The total modulation index $(m)$ of the wave is

$m_{1} + m_{2} + m_{3} + \dots$

$m_{1} - m_{2} + m_{3} + \dots$

$m_{1}^{2} + m_{2}^{2} + m_{3}^{2} + \dots$

$\frac{m _{1}^{2} + m _{2}^{2} + m _{3}^{2} + \dots}{n}$

Total modulation index of the wave
$m = m_{1}^{2} + m_{2}^{2} + m_{3}^{2} + \dots$

Q. A carrier wave is modulated by a number of sine waves with modulation indices m1​,m2​,m3​,…,. The total modulation index (m) of the wave is

m1​+m2​+m3​+…

m1​−m2​+m3​+…

m12​+m22​+m32​+…​

nm12​+m22​+m32​+…​​